Composite Collection of Tasks for Learning and Assessment Algebra

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Composite Collection of Tasks for Learning and Assessment Algebra

Algebra 1A

  1. I can show my understanding of equivalence among fractions, decimals and percentages by converting, interchanging, and using them at the right times.
  2. I can classify and compare rational and irrational numbers by ordering them or by placing them on a number line,
  3. I can estimate approximate solutions when multiplying and dividing using with fractions and decimals. I can multiply and divide fractions and decimals.
  4. I can estimate solutions when adding and subtracting using fractions and decimals. I can compute solutions. I can explain why we need common denominators when adding and subtracting using fractions and why we must line up decimals when adding & subtracting using decimal numbers.
  5. I can show my understanding and compute ( - x ÷ ) using positive and negative integers.
  6. I can simplify algebraic expressions using order of operations, distributive property and combining like terms.
  7. I can simplify expressions with exponents and describe the size of a number with a negative exponent.
  8. I can solve single variable equations. I can explain equivalence and how to use equivalence to solve equations.
  9. I can solve single variable inequalities algebraically and graphically.
  10. I can solve for the missing variable in a formula, including geometric measurement formulas.
  11. I can find missing measures in similar figures using proportion equations. I can explain connections between similarity and proportion.
  12. I can write and solve ratio and proportion problems from a variety of contexts, including percentages and unit rates.
  13. I can use proportion to create or interpret scale drawings. I can find actual measurements from scale drawings.
  14. I can collect data from real life situations and organize the data in tables, graphs and equations.
  15. I can recognize a linear pattern and distinguish between linear and non-linear patterns in data, graphs and equations. I can graph that relationship and write an equation for that relationship ( y = mx b).
  16. I can describe the slope of a line as a ratio or unit rate in a real life situation.
  17. I can explain how the graph tells the story of the situation and how the equation tells the story of the situation. I can explain how the slope and the y intercept relate to the real life story.
  18. I can simplify, ( , -, x, ÷) expressions with square roots.
  19. I can use Pythagorean Theorem to find a missing side of a right triangle
  20. I can estimate and measure real-life and geometric objects and determine whether my answer makes sense.

Algebra or Algebra 1B

  1. Define, classify, compare, and order rational and irrational numbers. Place rational and irrational numbers on a number line.
  2. Evaluate and simplify expressions, including formulas, containing rational numbers and square roots using the order of operations.
  3. Simplify, add, subtract, multiply, and divide expressions with square roots.
  4. Compute solutions to real world problems, representing my answer in exact form, determining whether or not my answer is reasonable using estimation.
  5. Use the Pythagorean Theorem to find any missing side of a right triangle.
  6. I can solve:
    · single variable equations
    · single variable inequalities algebraically and graphically.
    · literal equations for a specified variable (rearrange a formula for a specific variable.
  7. I can solve proportions that contain variables.
  8. I can solve word problems, including those with constant rates of change, by writing and solving equations.
  9. I can determine and explain the slope of any line (including vertical and horizontal lines) when given any of the following: data points, a line on a graph, a table, an equation, and real world data. I can explain slope as a constant rate of change in real world problems and as a proportion using similar figures.
  10. I can explain slope as a constant rate of change in real world problems and as a proportion using similar figures.
  11. I can identify the x- and y-intercepts from an equation, graph, or table of values. I can explain the x- and y-intercept of a graph in a real world situation.
  12. I understand and can explain linear relationship stories using graphs, tables, or equations. I can make connections among graphs, tables, and equations.
  13. I can graph linear equations and inequalities by plotting points, finding x- and y-intercepts, given the slope and any point on the line, and given an equation in slope-intercept form.
  14. I can determine how changes in the slope or y-intercept will affect an equation and a graph.
  15. Write the equation of a line given a graph, two points, or the slope and a point on the line in slope-intercept form and standard form. I can write equations for horizontal and vertical lines.
  16. I can distinguish between linear and nonlinear functions by examining data, a table, an equation, or a graph. I can generalize a linear pattern using slope.
  17. I can write algebraic expressions or equations to generalize visual patterns, numerical patterns, relations, data sets, or scatter plots.
  18. I can collect, record, organize, and display a set of data with two variables. I can determine whether the relationship between two variables is linear or nonlinear by examining a scatter plot. I can characterize the relationship between two variables as having positive, negative, or zero correlation.
  19. I can estimate the equation a line of best fit through a set of data and use this equation to make predictions. I can explain what the slope and y-intercept tell me about the real world data.
  20. I can solve a system of two linear equations graphically and algebraically with and without the use of technology. I can determine the number of solutions for a system of two linear equations.
  21. I can graph a system of linear inequalities and determine solutions.
  22. I can simplify expressions containing positive and negative exponents, and express my answer using positive exponents.
  23. I can add and subtract polynomials.
  24. I can multiply monomials with polynomials. I can multiply two binomials.
  25. I can factor a trinomial using the greatest common factor, finding the difference of two squares, and completing perfect square trinomials.
  26. I can solve a quadratic equation using factoring and square roots. I can write a quadratic equation given the solutions.